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Finding the Third Proportional to 76,943 and 115,921

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Solution

The third proportional to 76,943 and 115,921 is: 174,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,943 : 115,921 = 115,921 : x
  2. Step 2: Convert to fraction form
    76,943/115,921 = 115,921/x
  3. Step 3: Cross multiply
    76,943x = 115,921 × 115,921
  4. Step 4: Simplify right side
    76,943x = 13,437,678,241
  5. Step 5: Solve for x
    x = 13,437,678,241/76,943
  6. Step 6: Final answer
    x = 174,644.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.